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exis [7]
2 years ago
12

Jillian has made an error. In which step does it occur? Step 1 Step 2 Step 3 Step 4

Mathematics
1 answer:
Ket [755]2 years ago
4 0

Answer:

What error?

Step-by-step explanation

Can u plz label the steps?

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A student needed to prepare 500mL of 1X TAE buffer to run a QC gel. The stock solution in the lab is 5X TAE. What volumes of sto
Xelga [282]

Answer:

you need 100ml of 5X TAE and 400ml of water.

Step-by-step explanation:

You need to use a rule of three:

C_1V_1=C_2V_2

where:

\left \{ {{C_1= 5X} \atop {C_2=1X}} \right.

and

\left \{ {{V_1 = V_{TAE}} \atop {V_2=500ml}} \right.

Therefore:

V_{TAE} = \frac{V_2*C_2}{C_1}

V_{TAE} = 100ml

Then just rest the TAE volume to the final Volume and you get the amount of water that you need to reduce the concentration.

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2 years ago
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Find the measure of side NO. Figures are not drawn to scale.​
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Its being dilated by 3 therefore your answer is 9.9
7 0
3 years ago
The Paint Factory has 500 different colors of interior paint from which to choose. Generate an equivalent expression using prime
belka [17]

Answer:

The answer is C.

Step-by-step explanation:

The simplest form is C.

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I NEED HELP WITH THIS?!?!?
shtirl [24]

i can try to help

Step-by-step explanation:

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2 years ago
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The lengths of the sides of a triangle are consecutive integers and the largest angle is twice the smallest angle. Find the meas
eduard

Answer:

  41°

Step-by-step explanation:

I could not think of an easy way to solve this, apart from having a graphing calculator do it. In the end, I found I could solve it analytically using a combination of the law of sines and the law of cosines.

Let x represent the length of the shortest side, and θ the smallest angle. Then the <em>law of sines</em> tells you ...

  sin(θ)/x = sin(2θ)/(x+2)

Cross-multiplying and using the trig identity for sin(2θ), we have ...

  (x +2)sin(θ) = 2x·sin(θ)cos(θ)

Dividing out sin(θ), we see that ...

  cos(θ) = (x+2)/(2x)

___

The law of cosines for the shortest side and smallest angle tells you ...

  x^2 = (x+1)^2 + (x+2)^2 - 2(x+1)(x+2)·cos(θ)

Substituting the above expression for cos(θ), this can be rewritten as ...

  0 = (x^2 +2x +1) +(x^2 +4x +4) -x^2 -(x+1)(x+2)^2/x

  0 = x^2 +6x +5 -(x+1)(x+2)^2/x . . . . . . collect terms outside the fraction

  0 = x(x+5)(x+1) -(x+1)(x+2)^2 . . . . . . . . factor and multiply by x

We know that x=-1 is not a solution, so we can divide by that factor:

  0 = x^2 +5x -(x^2 +4x +4) . . . . . multiply it all out

  0 = x -4 . . . . . . . . . . . . . . . . . . . . collect terms

  4 = x

so, cos(θ) = (4+2)/(2·4) = 6/8 = 3/4

and the angle of interest is ...

  θ = arccos(3/4) ≈ 41.40962° ≈ 41°

_____

The attachment shows a triangle-solver's result using the consecutive integers for side lengths. It confirms the answer we have here.

7 0
3 years ago
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